107372831040 has 448 divisors, whose sum is σ = 391860633600. Its totient is φ = 27660552192.

The previous prime is 107372830987. The next prime is 107372831053. The reversal of 107372831040 is 40138273701.

107372831040 is a `hidden beast` number, since 107 + 372 + 83 + 104 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 107372830986 and 107372831004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32078647 + ... + 32081993.

Almost surely, 2^107372831040 is an apocalyptic number.

107372831040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107372831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195930316800).

107372831040 is an abundant number, since it is smaller than the sum of its proper divisors (284487802560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107372831040 is a wasteful number, since it uses less digits than its factorization.

107372831040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3499 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 107372831040 in words is "one hundred seven billion, three hundred seventy-two million, eight hundred thirty-one thousand, forty".